3913779565344 has 576 divisors, whose sum is σ = 12544529356800. Its totient is φ = 1062523883520.

The previous prime is 3913779565331. The next prime is 3913779565373. The reversal of 3913779565344 is 4435659773193.

It is a super-2 number, since 2×3913779565344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451776757 + ... + 451785419.

It is an arithmetic number, because the mean of its divisors is an integer number (21778696800).

Almost surely, 2^{3913779565344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3913779565344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272264678400).

3913779565344 is an abundant number, since it is smaller than the sum of its proper divisors (8630749791456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3913779565344 is a wasteful number, since it uses less digits than its factorization.

3913779565344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8829 (or 8810 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 66.

The spelling of 3913779565344 in words is "three trillion, nine hundred thirteen billion, seven hundred seventy-nine million, five hundred sixty-five thousand, three hundred forty-four".